Question

If the volume of 2 sphere are in ratio the ratio is 64:27 find the ratio of their surface area

Answer 1

Answer:

If the volume of 2 sphere are in ratio the ratio is 64:27

Then ratio of radii

$\frac{r1}{r2} = \sqrt[3]{ \frac{64}{27} } \\ \frac{r1}{r2} = \frac{4}{3}$

Ratio of their surface area

$\frac{s1}{s2} = \frac{ {(r1)}^{2} }{ {(r2)}^{2} } = \frac{ {4}^{2} }{ {3}^{2} } = \frac{16}{9}$